DOAJ Open Access 2024

New modifications of natural transform iterative method and q-homotopy analysis method applied to fractional order KDV-Burger and Sawada–Kotera equations

Muayyad Mahmood Khalil Siddiq Ur Rehman Ali Hasan Ali Rashid Nawaz Belal Batiha

Abstrak

This manuscript presents enhanced versions of two methods: the natural transform iterative method (NTIM) and the q-homotopy analysis method (q-HAM). These methods harness concepts from Fractional Calculus, particularly leveraging the Caputo fractional derivative operator, to successfully manage the complexities of fractional-order systems. To validate their accuracy and efficiency, we applied the proposed techniques to FPDEs like the fractional-order KDV-Burger and fifth-order Sawada–Kotera equations. Our outcomes, which closely resemble the exact solutions, demonstrate how useful NTIM and q-HAM are for solving difficult FPDEs and improving the study of fractional calculus.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (5)

Muayyad Mahmood Khalil

Siddiq Ur Rehman

Ali Hasan Ali

Rashid Nawaz

Belal Batiha

Format Sitasi

APA MLA BibTeX

Khalil, M.M., Rehman, S.U., Ali, A.H., Nawaz, R., Batiha, B. (2024). New modifications of natural transform iterative method and q-homotopy analysis method applied to fractional order KDV-Burger and Sawada–Kotera equations. https://doi.org/10.1016/j.padiff.2024.100950

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2024.100950
Akses: Open Access ✓